(2x-3z)(7x-2z)=

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Solution for (2x-3z)(7x-2z)= equation: 


Simplifying
(2x + -3z)(7x + -2z) = 0

Multiply (2x + -3z) * (7x + -2z)
(2x * (7x + -2z) + -3z * (7x + -2z)) = 0
((7x * 2x + -2z * 2x) + -3z * (7x + -2z)) = 0

Reorder the terms:
((-4xz + 14x2) + -3z * (7x + -2z)) = 0
((-4xz + 14x2) + -3z * (7x + -2z)) = 0
(-4xz + 14x2 + (7x * -3z + -2z * -3z)) = 0
(-4xz + 14x2 + (-21xz + 6z2)) = 0

Reorder the terms:
(-4xz + -21xz + 14x2 + 6z2) = 0

Combine like terms: -4xz + -21xz = -25xz
(-25xz + 14x2 + 6z2) = 0

Solving
-25xz + 14x2 + 6z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -3z)(7x + -2z) = 0


Subproblem 1
Set the factor '(2x + -3z)' equal to zero and attempt to solve:

Simplifying
2x + -3z = 0

Solving
2x + -3z = 0

Move all terms containing x to the left, all other terms to the right.

Add '3z' to each side of the equation.
2x + -3z + 3z = 0 + 3z

Combine like terms: -3z + 3z = 0
2x + 0 = 0 + 3z
2x = 0 + 3z
Remove the zero:
2x = 3z

Divide each side by '2'.
x = 1.5z

Simplifying
x = 1.5z

Subproblem 2
Set the factor '(7x + -2z)' equal to zero and attempt to solve:

Simplifying
7x + -2z = 0

Solving
7x + -2z = 0

Move all terms containing x to the left, all other terms to the right.

Add '2z' to each side of the equation.
7x + -2z + 2z = 0 + 2z

Combine like terms: -2z + 2z = 0
7x + 0 = 0 + 2z
7x = 0 + 2z
Remove the zero:
7x = 2z

Divide each side by '7'.
x = 0.2857142857z

Simplifying
x = 0.2857142857z
Solution
x = {1.5z, 0.2857142857z}

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